Question

Geometry Help?!
An oblique cone has a height of 5 m ad a base with a diameter of 18 m. A right cone has a 5 m height and a radius of 9 m for its base.
Which describes the volume of the oblique cone (Vo) compared with the volume of the right cone (Vr)?
A.) Vr 10 years ago

Answer 1

For this problem, you can see that the height of the two cones are equal.
Also, the radius of the oblique cone is twice of that the right cone.

Answer 2

From the general formula for volume of the cone. We have\[V = \frac{ 1 }{ 3 } \pi r^{2} h\]

Answer 3

okay

Answer 4

Okay. From the facts I said on my first comment. We can say now that \[h_{o} = h _{r}\] and \[r _{o} = 2r _{r}\]

Answer 5

We can determine the relation of their volume by using proportion. That is by solving Vo/Vr

Answer 6

From that,
\[\frac{ V _{o} }{ V _{r} } = \frac{ \frac{ 1 }{ 3 } \pi (2r _{r})^{2}h _{o} }{ \frac{ 1 }{ 3 } \pi (r _{r})^{2} h _{o}}\]

Answer 7

Simplifying the above equation, we can see that
\[\frac{ Vo }{ Vr } = 2\]